4222511353200 has 480 divisors, whose sum is σ = 15723610767360. Its totient is φ = 948696652800.

The previous prime is 4222511353139. The next prime is 4222511353297. The reversal of 4222511353200 is 23531152224.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150623185 + ... + 150651215.

It is an arithmetic number, because the mean of its divisors is an integer number (32757522432).

Almost surely, 2^{4222511353200} is an apocalyptic number.

4222511353200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4222511353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7861805383680).

4222511353200 is an abundant number, since it is smaller than the sum of its proper divisors (11501099414160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4222511353200 is a wasteful number, since it uses less digits than its factorization.

4222511353200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28365 (or 28354 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 4222511353200 in words is "four trillion, two hundred twenty-two billion, five hundred eleven million, three hundred fifty-three thousand, two hundred".